Find the midpoint of AB A(-1,2) B(0,-14)

Answers

Answer 1

Answer:

given ,

two points A ( -1 , 2 ) and B ( 0 , -14 )

to find - coordinates of midpoint of A and B

______________________________________

[tex]\fbox\pink{Solution -}[/tex]

let the midpoint be P ( x , y )

using midpoint formula ,

[tex]P(x,y) = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} ) \\ \\ P(x,y) = ( \frac{ - 1 + 0}{2} , \frac{2 + ( - 14)}{2} ) \\ \\ (x,y) = ( \frac{ - 1}{2} , \frac{ - 12}{2} ) \\ \\ x = \frac{ - 1}{2} \\ \\ y = \frac{ - 12}{2} => - 6[/tex]

thus ,

the coordinates of the midpoint are

[tex]\red{P( \frac{ - 1}{2} , - 6)} \\ \\ or \\ \\ \red{P( -0.5 , - 6 )} [/tex]

hope helpful :D

Answer 2

Answer:

Step-by-step explanation:

A(-1,2)  x₁ = -1  &  y₁ = 2

B(0 ,-14)   x₂ = 0  & y₂ = -14

[tex]\text{ \sf Midpoint = $\left(\dfrac{x_{1}+x_{2}}{2} ,\dfrac{y_{1}+y_{2}}{2}\right)$ }[/tex]

              [tex]= \left (\dfrac{-1+0}{2} ,\dfrac{2+[-14]}{2} \right) \\\\\\=\left(\dfrac{-1}{2}, \dfrac{-12}{2}\right)\\\\\\=\left( -0.5 , -6 \right)[/tex]


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lesson 8 practice probelms position,speed, and directions

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It’s giving what it supposed to tbh sorry I need answers

How to illistrate 1/3×1/2

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Answer:

=1/6

Step-by-step explanation:

thats the answer

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Given mſn, find the value of x.
(6x-7)º
m
(4x-10°

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Answer:

x = 3

Step-by-step explanation:

These angles are actually equal to each other

This is because when two lines intersect, the two opposite angles are the same.

Since they are the same, you can set them equal to each other

Like so:

6x - 7 = 4x - 1

Then solve:

6x - 7 = 4x - 1

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x = 3

Please help cannot figure out how to get the answers

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Answer:

Step-by-step explanation:

A jar contains 416 coins.1/4 of the coins are £1 coins.
280 of the coins are 20p coins.
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Answers

Answer:

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Step-by-step explanation:

it's 250 from me...

Can someone please help me with this!! The equation y=4x+2 represents Function G. Which statement is true?

Answers

QUESTION :> WHATS STATEMENT IS TRUE ?

ANSWER :> A. OR THE RATE OF FUNCTION G IS GREATER THAN THE RATE OF FUNCTION F BECAUSE

2 > (9 7).

HOPE IT HELPS

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(NEED HELP ASAP)An urn contains three red marbles, and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?

Answers

Answer:

6/9 or 1/3

Step-by-step explanation:

There is a total of 9 marbles of both colors in the bag.
(3 red marbles + 6 blue marble = 9 marbles)

This means the denominator of your probability will be 9. There are 6 blue marbles in the bag so, in conclusion, the probability that you will take a blue marble out of the bag is 6/9. Also, 6/9 when simplified, is 1/3.




Have a great rest of your day
#TheWizzer

the functionary f is such that f(x)=7x-6 a)work out the value of f(4) b)hence, or otherwise,work out the value of f^-1(22)

Answers

Answer:

Step-by-step explanation:

a) f(4)=7(4)-6=22.

b) This is equal to 4. Since [tex]f^{-1}(x)=y \implies f(y)=x[/tex], we get that since f(4)=22, [tex]f^{-1}(22)=4[/tex].

THINK SMARTER + Julianna is lining the inside of a basket with fabric.
The basket is in the shape of a rectangular prism that is 29 cm long,
19 cm wide, and 10 cm high. How much fabric is needed to line the
inside of the basket if the basket does not have a top? Explain your
strategy
2

Answers

Answer:

1,511 cm²

Step-by-step explanation:

      We will find the surface area, but not include the top.

      This means we will have five sides to calculate for, see attached.     Please note that the area of a rectangle can be found with A = L * W

[1] 19 cm * 10 cm = 190 cm²

[2] 19 cm * 10 cm = 190 cm²

[3] 29 cm * 10 cm = 290 cm²

[4] 29 cm * 10 cm = 290 cm²

[5] 19 cm * 29 cm = 551 cm²

    Add them all together:

190 cm² + 190 cm² + 290 cm² + 290 cm² + 551 cm² = 1,511 cm²

Which angle is an x-intercept for the function y = cos(1)
A.0
B.2
C. £
D. 2£

Answers

Answer: C. [tex]\pi[/tex]

=======================================================

Explanation:

The x intercept always occurs when y = 0.

Use the unit circle to determine that [tex]\cos(\theta) = 0[/tex] when [tex]\theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}[/tex]

So if [tex]x = \pi[/tex], then we have

[tex]y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\[/tex]

which shows us that [tex](\pi, 0)[/tex] is the location of one of the infinitely many x intercepts for this function.

Zack went on 6 hikes. The hikes were:
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What was the range of the lengths of Zack's hikes?​

Answers

Answer:

3 miles

Step-by-step explanation:

Range is the biggest number minus the smallest number.

First put the distance in order from least to greatest.

4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.

Now subtract the greatest and least amounts.

7 - 4 = 3

Which of the following is equivalent to 1 and
5/8

Answers

1 and 5/8 is equivalent to 13/8

Exercise #5: Quadrilateral EFGH has vertices at E(-6,2), F(3,8), G(7,2), and H(-2,-4).

Calculate the slopes of all four sides of EFGH. Use these slopes to prove that EFGH is a rectangle.

Answers

Answer:

The slope of both EF and GH are 2/3

The slope of both FG and EH are -3/2

You can see that these slopes are perpendicular, forming a rectangle

Step-by-step explanation:

To find slope use the slope formula: y1 - y2 / x1 - x2

so first:

8 - 2 / 3 - (-6) = 2/3

(-4) - 2 / (-2) - 7 = 2/3

Then:

8 - 2 / 3 - 7 = -3/2

2 - (-4) / (-6) - (-2) = -3/2

In a town of 117 000 people, 14000 like to
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Answers

Divide number that like hockey by population then multiply by 100:


14,000 / 117,000 = 0.11965

0.11965 x 100 = 11.965%

Round up to 12%

MATHEMATICS
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TY<3​

Answers

Answer:

The answer is 157 mm.

Step-by-step explanation:

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Now,

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C = 3.14 × 50 mm

C = 157 mm

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AB= 7 and BC= 5. Find AC.
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A) 9
B) 12
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Answers

Answer:

B

Step-by-step explanation:

It would help if you can actually show the points

Help help help help help

Answers

Answer:

x = 12

Step-by-step explanation:

Becuase 6/12 = 2 and 9 + 2 = 11

12

a newspaper editor hired a writer for jokes cartoons. the cost for 8 jokes and 6 cartoons is 610usd. the cost of 6 jokes and 8 cartoons is 510usd how much do a joke and a cartoon together cost

Answers

Answer:

a joke and a cartoon together cost $80

c=$15   j=$65

Step-by-step explanation:

j=joke

c=cartoon

8j +6c = 610

6j+8c = 510

    Multiply the first by 8

    Multiply the second by -6

64j +48c = 4880

-36j -48c = -3060

      ADD both (c will cancel)

28j = 1820

j= 65

       PLUG j

8(65) + 6c = 610

520+6c = 610

6c= 90

 c = 15

       j + c   = 65+15 = 80

3. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to
be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum
number of full cups of water that can be placed into the container without the water overflowing?

Answers

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

How to calculate volume?

Volume of the container = 10 * 15 * 20 = 3000 in³

The volume of the cylinder is:

Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³

Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

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Please help

Suppose Troy conducted a statistical study by asking 12 math teachers the following question:
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The question asked by Troy is a statistical question because there would be variability in the answers he get fro the 12 maths teachers.

What is a statistical question?

A statisical question is a question that can only be answered through the collection of data. Thhere would be variablility in the results gotten from the data.

A non- statistical question is a question that has only one answer. For example, how old are you? is a non-statistical question.

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if you spin the spinner 42 times what is the best prediction possible for the number of times it would land on yellow or pink

Answers

Answer:

21

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5 0 4
6 5 7 8
7 5 8
8 2 4 5 5 5 6 7 8 9
9 0 0 0 0 4 6 7 9
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A school band sold 432 tickets for their upcoming spring concert. This represents about 85.5% of the number of tickets sold last year. How many tickets were sold last year? (Round to the nearest whole number)

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60 in³

48 in³

44 in³

Answers

Answer:

96 in³

Step-by-step explanation:

Volume = 2(BHD) / 2

The 2s cancel out

Volume = 3(8)4

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three subtracted from five times a number is -39. what number is?

A) Translate the statement above into an equation that you can solve to answer this question, Do not solve it yet. Use x as your variable.
The equation is _____
B) Solve your equation in part {A} for x
.Answer x=

Answers

Answer:

A) 5x - 3= -39

B) 5x = -39 + 3

5x = -36

x = -36/ 5

x= -7.2

If 18% of a number is 24, find 3% of that number. You must show your work in the work space.

Answers

Answer:

hello

18 % =  24

3 % = ( 3 x 24 ) / 18 = 4

Step-by-step explanation:

A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas, how many of the packages are corn tortillas?

Answers

Answer:390

Step-by-step explanation:

500*.22=110

500-110=390

390

Answer:

390

Step-by-step explanation:

22% of 500 is 110 so that would make the answer 390 i think

Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.



4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4


Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?

A.
3
10

B.
9
20

C.
11
20

D.
1
36

Answers

Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:

A. [tex]\frac{3}{10}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, the number of outcomes are taken from previous trials.

In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:

p = 6/20 = 3/10.

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Evaluate the function when x= -3, 0, and 1.
f(x) = 5 + 5x - 7

Answers

Answer:

f(-3) = -17

f(0) = -2

f(1) = 3

Step-by-step explanation:

f(-3) = 5 + 5(-3) - 7

5 -15 - 7

-10 - 7

=-17

f(0) = 5 + 5(0) -7

5 + 0 - 7

5 - 7

=-2

f(1) = 5 + 5(1) - 7

5 + 5 - 7

10 - 7

=3

One-fourth of the sum of a number and 10 is 2 less
than twice the number?

Answers

Answer:

The number is 2

Step-by-step explanation:

The equation is: 1/4 (x + 10) = 2x - 1

1/4x + 2.5 = 2x - 1

Multiply everything by 4 to get rid of the fraction

x + 10 = 8x - 4

Subtract x from both sides

10 = 7x - 4

Add 4 to both sides

14 = 7x

Divide both sides by 7

x = 2

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